Environment Secretary Owen Paterson said the Government is currently spending £100,000 a week on "pumping operations" in the moors and levels in Somerset.
Mr Paterson was responding to an urgent question in the Commons.
More top news
The victim reported Samantha Watt to police in July after she discovered the photos had been put up on her Facebook page.
The roof and floors collapsed during the blaze at the property, one of Britain's finest Palladian mansions.
The BBC Three TV channel is to be made an online-only channel after the cost-cutting measure was approved by the BBC Trust.